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Finding the Fourth Proportional to 42,031.92, 58,004.10 and 23,169

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Solution

The fourth proportional to 42,031.92, 58,004.10 and 23,169 is: 31,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,031.92 : 58,004.10 = 23,169 : x
  2. Step 2: Convert to fraction form
    42,031.92/58,004.10 = 23,169/x
  3. Step 3: Cross multiply
    42,031.92x = 58,004.10 × 23,169
  4. Step 4: Simplify right side
    42,031.92x = 1,343,896,992.90
  5. Step 5: Solve for x
    x = 1,343,896,992.90/42,031.92
  6. Step 6: Final answer
    x = 31,973.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.